During a 12-hour period, the tides in one area of the Bay of Fundy cause the water level to rise to 6 m above average sea level and to fall 6 m below average sea level. The depth of the water at low tide is 2 m as measured against a pier.

a.) Suppose the water is at average sea level (rest position) at 0:00 hours (midnight) and the tide is coming in. Draw a graph that shows the height of the tide over a 24-hour period. Explain how you obtained the graph.

b.) b.) Write the equation of the Sine wave that represents the change in the height of the tide.

c.)If the water is at average sea level at 03:00 (3 am) instead of at midnight and the tide is coming in, write the equation of the Sine wave that represents this situation.

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